SOLUTION: (2/3 + √2)(¾ - 2√2)

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Question 809711: (2/3 + √2)(¾ - 2√2)
Found 2 solutions by JBarnum, MathTherapy:
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
%28%282%2F3%29%2Bsqrt%282%29%29%28%283%2F4%29-2%28sqrt%282%29%29%29
use FOIL(First Outer Inner Last) Method

%281%2F2%29%2B%28%28-4sqrt%282%29%29%2F3%29%2B%283%28sqrt%282%29%29%2F4%29-4
now if u need it all over the common denom which is simply multiplying everything by the common 1/1 = ((1*2*3*4)/(1*2*3*4)) = 24/24
writing this out is a lot more work then doing this in my head...i suggest u memorize the process and do it in your head its way faster.

below shows cross outs

multiplied outcome:

highlight_green%28%28-84-18sqrt%282%29%29%2F24%29
this was a pain to code in here hope this is clear enough.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
(2/3 + √2)(¾ - 2√2)

-+7%2F2+-+%287%2F12%29sqrt%282%29 or -+7%2F2+-+7sqrt%282%29%2F12, or highlight_green%28%28-+42+-+7sqrt%282%29%29%2F12%29